Question

Which statement about the following equation is true?

3x^2-8x+5=5x^2

1) The discriminant is less than 0, so there are two real roots.
2) The discriminant is greater than 0, so there are two real roots.
3) The discriminant is less than 0, so there are two complex roots.
4)The discriminant is greater than 0, so there are two complex roots.

Answer 1

1. 3x^2-8x+5=5x^2
2x^2+8x-5

Discriminant = 64+40 = 104 > 0
The answer is 2

Answer 2

Which statement about the following equation is true?

3x^2-8x+5=5x^2


2) The discriminant is greater than 0, so there are two real roots.

Let's solve your equation step-by-step.3x2−8x+5=5x2Step 1: Subtract 5x^2 from both sides.3x2−8x+5−5x2=5x2−5x2−2x2−8x+5=0Step 2: Use quadratic formula with a=-2, b=-8, c=5.x=−b√±b2−4ac/2a
x=−(−8)±√(−8)2−4(−2)(5)/2(−2)
x=8±√104/−4
x=−2+−1/2√26 or x=−2+1/2√26